All categories

3 years ago

An integer is chosen random between 1 to 100. find the probability that it is divisible by 8

Mathematics

2 answers:

Black_prince [1.1K]3 years ago

7 0

The probability of the event is 12/100 or 0.12

arlik [135]3 years ago

3 0

Answer: 0.12

x is the number which is chosen

The number of ways to choose x from 1 to 100 is 100 (ways)

because x is divisible by 8 => x ∈ {8; 16;...; 96}

=> the number of terms divisible by 8 from 1 to 100 is (96 - 8)/8 + 1 = 12

the number of ways to choose x which is divisible by 8 is 12 (ways)

=> the probability that x is divisible by 8 is 12/100 = 0.12

Step-by-step explanation:

You might be interested in

What is the center and radius of the circle?<br> (x-3)2 + y² = 4

Kipish [7]

Answer:

center = (3, 0)

radius = 2

Step-by-step explanation:

Standard equation of a circle: $\sf (x-h)^2+(y-k)^2=r^2$

(where (h, k) is the center of the circle and r is the radius)

Given equation:

$\sf (x-3)^2+y^2=4$

Rewrite in standard form:

$\sf \implies (x-3)^2+(y-0)^2=2^2$

Therefore

center = (3, 0)
radius = 2

4 0

2 years ago

A timer is started and a few moments later a model airplane is launched from the ground. Its height (in feet) as a function of t

WITCHER [35]

The airplane reaches its maximum height of 81 feet in 12 seconds.

<h3>Behavior of curves</h3>

If y = $x^{2}$ , it means that the second derivate is 2 which is positive, then there is a minimum turning point.

If y = - $x^{2}$ , it means that the second derivative will be -2 which is negative, then there is a maximum turning point.

Analysis:

h(t) = - $(t - 12)^{2}$ + 81

By expanding,

h(t) = -( $t^{2}$ - 24t + 144) +81

h(t) = - $t^{2}$ + 24t - 144 + 81

h(t) = - $t^{2}$ + 24t - 63

at turning point d/dt(h(t)) = 0

d/dt (h(t)) = -2t +24

-2t +24 = 0

if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.

2t = 24

t = 12 seconds

h(t) at t = 12

h(t) = $-(12)^{2}$ + 24(12) - 63 = 81 feet

In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.

Learn more about minimum and maximum points: brainly.com/question/14993153

#SPJ1

7 0

2 years ago

Are you good at maths?????????????????????????

Flauer [41]

The probability that a student, chosen at random, does not study chemistry is 20/41.

<h3>What is Probability?</h3>

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Here, Total number of student = 41

Student who does not study chemistry = 20

So, the probability = favorable outcome / total outcomes

P(not studying chemistry) = 20 / 41

Thus, The probability that a student, chosen at random, does not study chemistry is 20/41.

Learn more about Probability from:

brainly.com/question/11234923

#SPJ1

7 0

2 years ago

Sixty percent (60%) of those who attended the soccer game were parents. There were 120 people who